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一种新的量化Markov跳变网络化系统的分析与设计
引用本文:褚红燕,费树岷,李奇贺,高洪青.一种新的量化Markov跳变网络化系统的分析与设计[J].东南大学学报(自然科学版),2011,41(4):717-722.
作者姓名:褚红燕  费树岷  李奇贺  高洪青
作者单位:1. 东南大学自动化学院,南京210096;南京师范大学能源与机械工程学院,南京210042
2. 东南大学自动化学院,南京,210096
3. 南京师范大学能源与机械工程学院,南京,210042
4. 南京电子技术研究所,南京,211113
基金项目:国家自然科学基金资助项目(60835001); 江苏高校自然科学研究计划资助项目(10KJB510009)
摘    要:为了研究一类具有信号量化的随机网络化控制系统,采用时变量化器建立该系统的随机动态数学模型.利用Lyapunov稳定性理论,结合线性矩阵不等式(LMI)技术对随机系统进行稳定性分析和控制器设计,最终给出了指数稳定性判据,并进一步设计相应的时变量化状态反馈控制器.分析和处理过程中,通过引入新的Lyapunov函数,利用矩阵...

关 键 词:时变量化器  凸性  时滞分段

Analysis and design for Markov jump networked systems based on signal quantization
Chu Hongyan,Fei Shumin,Li Qihe,Gao Hongqing.Analysis and design for Markov jump networked systems based on signal quantization[J].Journal of Southeast University(Natural Science Edition),2011,41(4):717-722.
Authors:Chu Hongyan  Fei Shumin  Li Qihe  Gao Hongqing
Institution:Chu Hongyan1,2 Fei Shumin1 Li Qihe2 Gao Hongqing3(1School of Automation,Southeast University,Nanjing 210096,China)(2School of Energy and Mechanical Engineering,Nanjing Normal University,Nanjing 210042,China)(3Nanjing Research Institute of Electronic Technology,Nanjing 211113,China)
Abstract:A dynamical mathematical model is built by using time-varying quantizers to study the stochastic quantized networked system.Based on the Lyapunov stability theory combined with linear matrix inequality(LMI) technique,stability analysis are conducted.Furthermore,the design for the corresponding quantized feedback control law is also presented.Application of new Lyapunov function,convexity of the matrix function,Jessen inequality,free-weighting matrix,Schur complements and piecewise delay method make the prop...
Keywords:time-varying quantizers  convexity  piecewise delay  
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